A Further Remark on Diffusion Approximations with RB and ER Boundary Conditions

Kentaro Hoshi (), Yu Nonaka, Yoshitaka Takahashi and Naohisa Komatsu
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Kentaro Hoshi: Waseda University
Yu Nonaka: Waseda University
Yoshitaka Takahashi: Waseda University
Naohisa Komatsu: Waseda University

A chapter in Operations Research Proceedings 2010, 2011, pp 175-180 from Springer

Abstract: Abstract Diffusion approximations are developed different ways, yielding different results. In this paper we redevelop the diffusion approximation for the unfinished work process in the GI/G/1 system with reflecting barrier and elementary return boundary conditions, denoted as DAU(RB) and DAU(ER). The accuracy comparisons are presented among DAU(RB), DAU(ER), and the diffusion approximations for the queue-length process by Heyman, Kobayashi, and Gelenbe; to answer the question which diffusion approximation is the best.

Keywords: Service Time; Diffusion Equation; Sojourn Time; Work Process; Diffusion Approximation (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-642-20009-0_28

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DOI: 10.1007/978-3-642-20009-0_28

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